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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1401. |
Factorise : a^(3) + 27b^(3) + 64c^(3) - 36abc |
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| 1402. |
If A, B and C are three poins on a line and B lies between A and C, then prove that AB + BC = AC. |
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Answer» Solution :In the FIGURE GIVEN above,AC and AB + BC COINCIDE each other. Also Euclid's axiom (4) SAYS that things which coincide with one another are equal to one another. So it can be DEDUCED that `AB+BC=AC` |
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| 1403. |
The radius of a spherical balloon increases from 14 cm to 35 cm as air is pumped into it. Find the ratio of surface areas of the balloon in these two cases. |
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| 1404. |
The mean of the following distribution is.......... |
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Answer» 3.9 |
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| 1405. |
Threemerchants A,B and C markedthree identicalarticleseach ar Rs 2000.A soldhis articleafter twosuccessive discounts of 40%and 20%C soldhisarticleafter successivediscounts of 50%and 10%.Findthe highest sellingprice. |
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| 1406. |
Find the square root of 11+2sqrt(30) |
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| 1407. |
The simple interest on a certain sum of money for 3 years at 5% per annum is Rs 1,200. Find the amount due and the compound interest on this sum of money at the same rate and after 2 years, interest is reckoned annually. |
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| 1408. |
The principal and the rate of simple interest per month. Write an algorithm to calculate cumulative simple interest at the interest at the end of each year for 1 to 10 year and drawa flowchart |
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Answer» Solution :STEP 1: READ the values of principle (p) rate of INTEREST (R) and time period (T) step 2: TAKE T=1 step 3: SI `=(12xxPxxTxxR)/(100)` step4: print the SI step 5: if T `lt` 10 then complete steps 3,4,5 step 6: otherwise stop the program step 7: CALCULATE T=T+1 
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| 1409. |
A briefcase can be sold for Rs 600 or for a certain amount of cash down payment followed by a payment of Rs 309after months .if the rate of interset is 12% per annum find the cash down payment (in Rs ) |
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Answer» 300 Let the down payment be Rs x ltrbgt Principal amount for EACHMONTH = Rs (600-x) ltrbgt `therefore` TOTAL principal for 3 months (in Rs) =(3600-x) Interest (in Rs )=x+309-600=x-291ltrbgt `therefore x-291 =(3(600-x)12)/(1200)` `RARR 10x-29,100=1800-3x` `rarr 103 x=30,900` `rarr x=300` |
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| 1410. |
Express each of the following equations in the form of ax + by + c = 0 and write the values of a, b and c. (i) 3x + 4y = 5 (ii) x - 5 =sqrt3y (iii) 3x = y (iv) x/2+y/2=1/6 (v) 3x - 7 = 0 |
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Answer» (ii)a=1,b=-`sqrt3`,c=-5 (iii)a=3,b=-1,c=-0 (IV)a=`1/2`,b=`1/2`,c=`(-1)/6` (v)a=3,b=0,c=-7 |
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| 1411. |
Weights of parcels in a transport office are given below. Find the mean weight of the parcels. |
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| 1412. |
A metal cuboid of dimension 22 cm xx 15 cm xx 7.5 cm , was melted and cast into a cylinder of height 14 cm .What is its radius? |
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| 1413. |
In the given figure, if AB = 2, BC = 6, AE = 6, BF = 8, CF = 7 and CF = 7, compute the ratio of the area of quadrilateral ABCE to the area of DeltaCDF. |
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| 1414. |
What sum of money will amount to Rs 27,783 in one and a half years at 10% per annum compounded half yearly ? |
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| 1415. |
Rationalise: (1)/(sqrt6-sqrt5) |
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| 1416. |
Find the remainder when f (x) =x ^(4) - 3x ^(2) + 4 is divided by g (x) =x -2 and verify the result by actual division . |
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| 1417. |
A person spends 20%of his salary on house rent 20% ofthe remainingsalary on clothes, 16.(2)/(3)% ofthe remaining on pertrol and 30% of theremainingon food . If afterincurring theaboveexpenditure his savings are Rs 147then find his his salary. |
| Answer» Solution :Assumethatthe salary of thepersonto be Rs 100andfollowthe DATAGIVEN in theproblem. | |
| 1418. |
In the given figure, sides AB and AC of triangle ABC are extended to points P and Q respectively. Also, angle PBC lt angle QCB. Show that AC gt AB |
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| 1419. |
Classify the following numbers as rational or irrational. 11.21132435465 |
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| 1420. |
Assume that a dart will hit the dart board and each point on the dart board is equally likely to be hit in all the three concentric circles where radii of concetric circles are 3 cm, 2 cm and 1 cm as shown in the figure below. Find the probability of a dart hitting the board in the regionA. (The outer ring) |
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| 1421. |
In the given figure a triangleABC is given in which AB=BC and BX =BY show that AX =CY |
Answer» Solution : Given A `triangle` ABC in which AB =BC X and y are points on AB and BC RESPECTIVELY such that BX =BY TO PROVE AX=CY PROOF By Euclid 's Axiom 3 we know that when equals are substracted from equals the REMAINDERS are equal `therefore` AB=BC and BX=BY `rarr` AB-BX=BC-BY [equals are substracted from equals] `rarr` AX=cY HENCE AX=CY |
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| 1422. |
Find the probability that a student obtained marks 60 or above. |
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| 1423. |
Two equal sums are lent at simple interest. The first sum is recovered in 3 years and the second sum in 6 years. The rate of interest per annum on the first sum is 2% more than that of the second sum. Find the total sum lent if the amount in each case is Rs 560. |
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Answer» Rs 530 ii) Let the sum be Rs P in each case and rate of interest on second sum be r% PER ANNUM. III) Take `P[1+((r+2)3)/100]=p+[(rxx6)/100]=560`. Find P and then 2P. |
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| 1425. |
Find the value of x^(@) in the folowing figures : |
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| 1426. |
A hemispherical bowl has diameter 9 cm. The liquid is poured into cylindrical bottles of diameter 3 cm. and height 3 cm. If a full bowl of liquid is filled in the bottles. Find how many bottles are required. |
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| 1427. |
Find any five rational numbers between 3/5 and 4/5 . |
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| 1428. |
ABCD is a rectangle and P,R and S are the mid - points of the AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus. |
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| 1430. |
Find the amount and the compound interest on Rs 12,000 in 3 years at 5%, interest being compounded annually. |
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| 1431. |
Angle in major segment. . . ..a. An acute angleb.An obtuse anglec. Right angled. Reflex angle |
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Answer» an acute angle |
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| 1433. |
AB and CD are chords of a circle with centre O. AB = 48 cm and its distance from centre O is 10 cm. If the distance of CD from centre O is 24 cm, find the length of CD. |
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| 1434. |
A cubical box has each edge 10cm and another cuboidal box is 12.5 cm long, 10 cmwide and 8 cm high.(i) Which box has the greaterlateral surface area and by how much?(ii) Which box hasthe smaller total surface area and by how much? |
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Answer» (ii) The total surface area of cubical box is smaller by 10 `cm^(2)` (610-600). |
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| 1435. |
Simplify each of the following by rationalising the denominator: (3sqrt5-sqrt7)/(3sqrt3+sqrt2) |
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| 1436. |
If the polynomials ax ^(3) + 3x ^(2) -13 and 2x ^(3) -5x +a arfe divided by (x-2) leave the same remainder, find the value of a. |
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| 1437. |
ABCD and BCFE are parallelograms. If area of triangle EBC=480cm^(2), AB=30cm "and" BC=40cm, Calculate, (i) area of parallelogram ABCD, (ii) area of the parallelogram BCFE, (iii) length of altitude from A on CD, (iv) area of triangle ECF. |
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| 1438. |
The outer measurements of a cuboidal tank are length 5 m, breadth 4 m and height 2 m. Square tiles of length 20 cm are to be fixed on its outer surfaces except the base. Find the number of tiles required. Find the cost of tiles if a box of 10 tiles costs Rs. 250. |
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| 1439. |
How is a histogram different from bar graph |
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Answer» Histogram is same as bar GRAPH but joined together. |
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| 1440. |
A sum of Rs 6,400 earns a compound interest of Rs 1,008.80 in 18 months when the interest is reckoned half-yearly. Find the rate of interest. |
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| 1441. |
If two chords AB and CD of a circle AYDZBWCX intersect at right angles,then prove that arc CXA+arc DZB=arc AYD+arc BWC =semi-circle. |
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Answer» Solution :Given In a circle AYDZBWCX, two chords AB and CD intersect at tight angles. To prove arc CXA+arc DZB=arc AYD+ arc BWC =SEMI-circle. Construction Draw a diameter EF parallel to CD having centre M. PROOF Since, `CD||EF` `:." Are"EC="arc" FD`...(i) Also,arcECXA=arcEWB[ SYMMETRICAL about diameter of a circle] andarc AF=arc BF....(II) We know that,arc ECXAYDF =Semi-circle  arc EA+arc AF=Semi-circle `rArr ` arc EC+arc CXA + arc FB=Semi-circle[from Eq. (ii)] `rArr` arc DF+arc CXA+arc FB =Semi-circle[from Eq. (i)] `rArr` arc DF+arc FB+ arc CXA= Semi-circle `rArr" arc "DZB+"arc "C xx A `=Semi-circle We know that, circle divides itself in two semi-circles, therefore the remaining portion of the circle is also equal to the semi- circle. `:.`arc AYD+ arc BWC=Semi-circle. |
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| 1442. |
For each of the following polynomials, find p(0), p(1) and p(3) : p(y) = y^(2) - 9 |
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Answer» <P> |
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| 1443. |
A conical pit of top diameter 3.5m is 12m deep.What is its capacity in kilolitres? |
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| 1444. |
Use suitable identities to find the following products : (x+8)(x-10) |
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| 1445. |
Construct an angle of 30^(@) using ruler and compasses only. |
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Answer» Solution :STEPS OF CONSTRUCTION (i) Draw an ANGLE `angleAOB=60^(@)`, as indicated in Example 3. (ii) Draw the BISECTOR `OC` of `angleAOB`, as indicated in Example 2. Then, `angleAOC=30^(@)` is the required angle. 
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| 1447. |
Solve the equation x-5 =15 |
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Answer» Solution :By Euclid 's Axiom 2 we KNOW that if equals be ADDED to equals then the wholes are EQUAL ltrbgt `therefore x-5 =15 rarr x-5+5=15+5` `rarr x=20` HENCE x =20 |
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| 1448. |
Find two solutions for each of the following equations : 4x +3y = 12 |
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| 1449. |
The percentage of marks obtained by a student in the monthly unit tests are given below : {:("Unit test",I,II,III,IV,V),("Percentage of ",69,71,73,68,74),("mark obtained",,,,,):} Based on this data, find the probability that the student gets more than 70% marks in a unit test. |
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| 1450. |
A farmer has divided his field into three parts as in the figure. Ist part is used to take care of his cattles. While II and III are used to grow two different crops. Answer the following :- (i) How much area has been used to take care for cattles? (ii) Are the two areas part II and part III equal ? Justify. (iii) What is the total areaof the field? |
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Answer» (II) Yes (III) `7500M^(2)` |
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